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Simplifying log(-1b + 6) = log(-2b + -6) Reorder the terms: glo(6 + -1b) = log(-2b + -6) (6 * glo + -1b * glo) = log(-2b + -6) Reorder the terms: (-1bglo + 6glo) = log(-2b + -6) (-1bglo + 6glo) = log(-2b + -6) Reorder the terms: -1bglo + 6glo = glo(-6 + -2b) -1bglo + 6glo = (-6 * glo + -2b * glo) Reorder the terms: -1bglo + 6glo = (-2bglo + -6glo) -1bglo + 6glo = (-2bglo + -6glo) Solving -1bglo + 6glo = -2bglo + -6glo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2bglo' to each side of the equation. -1bglo + 2bglo + 6glo = -2bglo + 2bglo + -6glo Combine like terms: -1bglo + 2bglo = 1bglo 1bglo + 6glo = -2bglo + 2bglo + -6glo Combine like terms: -2bglo + 2bglo = 0 1bglo + 6glo = 0 + -6glo 1bglo + 6glo = -6glo Add '-6glo' to each side of the equation. 1bglo + 6glo + -6glo = -6glo + -6glo Combine like terms: 6glo + -6glo = 0 1bglo + 0 = -6glo + -6glo 1bglo = -6glo + -6glo Combine like terms: -6glo + -6glo = -12glo 1bglo = -12glo Divide each side by '1glo'. b = -12 Simplifying b = -12
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